Question

giai phuong trinh \(\frac{m+11}{m-x}=\frac{1}{2}\)

Answer 1

\(\frac{m+11}{m-x}=\frac{1}{2}\)

ĐKXĐ:m khác x khác 0

=>2m+22=m-x

<=>2m-m+22=-x

<=>-x=m+22

<=>x=-m-22

Vậy x=-m-22 với x khác m khác 0

Answer 2

ĐKXĐ: m, x khác 0

\(\frac{m+11}{m-x}=\frac{1}{2}\)

\(\Leftrightarrow\frac{m+11}{m-x}-\frac{1}{2}=0\)

\(\Leftrightarrow\frac{2\left(m+11\right)-\left(m-x\right)}{2\left(m-x\right)}=0\)

\(\Rightarrow2m+22-m+x=0\)

\(\Leftrightarrow m+x=0-22\)

\(\Leftrightarrow x=-m-22\)